@@ Property / constraint @@
+ ${\displaystyle{\displaystyle|\operatorname{ph}z|\leq\tfrac{1}{2}\pi-\delta}}$ 
|\operatorname{ph}z|\leq\tfrac{1}{2}\pi-\delta
+Normal rank
@@ Property / constraint @@
+ ${\displaystyle{\displaystyle<\tfrac{1}{2}\pi}}$ 
<\tfrac{1}{2}\pi
@@ Property / constraint: ${\displaystyle{\displaystyle<\tfrac{1}{2}\pi}}$ / rank @@
+Normal rank
@@ Property / Symbols used @@
+the ratio of the circumference of a circle to its diameter
+Normal rank
+Defining formula:  ${\displaystyle{\displaystyle\pi}}$ 
\cpi
+xml-id: C3.S12.E1.m2ajdec
@@ Property / Symbols used @@
+base of natural logarithm
@@ Property / Symbols used: base of natural logarithm / rank @@
+Normal rank
@@ Property / Symbols used: base of natural logarithm / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\mathrm{e}}}$ 
\expe
@@ Property / Symbols used: base of natural logarithm / qualifier @@
+xml-id: C4.S2.E11.m2ajdec
@@ Property / Symbols used @@
+Q10817
@@ Property / Symbols used: Q10817 / rank @@
+Normal rank
@@ Property / Symbols used: Q10817 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\operatorname{ph}}}$ 
\phase
@@ Property / Symbols used: Q10817 / qualifier @@
+xml-id: C1.S9.E7.m1adec
@@ Property / Symbols used @@
+Q11221
@@ Property / Symbols used: Q11221 / rank @@
+Normal rank
@@ Property / Symbols used: Q11221 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle a}}$ 
a
@@ Property / Symbols used: Q11221 / qualifier @@
+xml-id: C4.S1.XMD4.m1cdec
@@ Property / Symbols used @@
+Q11217
@@ Property / Symbols used: Q11217 / rank @@
+Normal rank
@@ Property / Symbols used: Q11217 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle z}}$ 
z
@@ Property / Symbols used: Q11217 / qualifier @@
+xml-id: C4.S1.XMD8.m1dec
@@ Property / Symbols used @@
+Q11224
@@ Property / Symbols used: Q11224 / rank @@
+Normal rank
@@ Property / Symbols used: Q11224 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\delta}}$ 
\delta
@@ Property / Symbols used: Q11224 / qualifier @@
+xml-id: C4.S4.XMD1.m1dec

DLMF:4.4.E16 (Q1550): Difference between revisions

| ph ⁡ z | ≤ 1 2 ⁢ π - δ ph 𝑧 1 2 𝜋 𝛿 {\displaystyle{\displaystyle|\operatorname{ph}z|\leq\tfrac{1}{2}\pi-\delta}}

< 1 2 ⁢ π absent 1 2 𝜋 {\displaystyle{\displaystyle<\tfrac{1}{2}\pi}}

π {\displaystyle{\displaystyle\pi}}

e {\displaystyle{\displaystyle\mathrm{e}}}

ph phase {\displaystyle{\displaystyle\operatorname{ph}}}

a 𝑎 {\displaystyle{\displaystyle a}}

z 𝑧 {\displaystyle{\displaystyle z}}

δ 𝛿 {\displaystyle{\displaystyle\delta}}

Latest revision as of 18:06, 1 January 2020

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${\displaystyle{\displaystyle|\operatorname{ph}z|\leq\tfrac{1}{2}\pi-\delta}}$

${\displaystyle{\displaystyle<\tfrac{1}{2}\pi}}$

${\displaystyle{\displaystyle\pi}}$

${\displaystyle{\displaystyle\mathrm{e}}}$

${\displaystyle{\displaystyle\operatorname{ph}}}$

${\displaystyle{\displaystyle a}}$

${\displaystyle{\displaystyle z}}$

${\displaystyle{\displaystyle\delta}}$